Lectures on \(2\)D Yang-Mills theory, equivariant cohomology and topological field theories

DOI10.1016/0920-5632(95)00434-BzbMATH Open0991.81585arXivhep-th/9411210WikidataQ126548449 ScholiaQ126548449MaRDI QIDQ5927032

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Publication date: 8 March 2001

Published in: (Search for Journal in Brave)

Abstract: These are expository lectures reviewing (1) recent developments in two-dimensional Yang-Mills theory, and (2) the construction of topological field theory Lagrangians. Topological field theory is discussed from the point of view of infinite-dimensional differential geometry. We emphasize the unifying role of equivariant cohomology both as the underlying principle in the formulation of BRST transformation laws and as a central concept in the geometrical interpretation of topological field theory path integrals.

Full work available at URL: https://arxiv.org/abs/hep-th/9411210

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